Auto-Bäcklund transformation and exact solutions for modified nonlinear dispersive mK(m,n) equations

Yong Chen; Biao Li; Hongqing Zhang

doi:10.1016/S0960-0779(02)00485-X

Auto-Bäcklund transformation and exact solutions for modified nonlinear dispersive mK(m,n) equations

Yong Chen^*
, Biao Li
, Hongqing Zhang

^*Corresponding author for this work

Dalian University of Technology

Research output: Contribution to journal › Article › peer-review

54 Scopus citations

Abstract

Based on the idea of homogenous balance method and with the help of Mathematica, we obtain a new auto-Bäcklund transformation for modified nonlinear dispersive equation mK(m,n). Then based on the Bäcklund transformation, some solitary patterns solution for mK(m,n) equation are derived. In addition, we also obtain the general solutions for mK(n,n) in higher dimensional spatial domains, even in N dimensional space.

Original language	English
Pages (from-to)	693-698
Number of pages	6
Journal	Chaos, Solitons and Fractals
Volume	17
Issue number	4
DOIs	https://doi.org/10.1016/S0960-0779(02)00485-X
State	Published - Aug 2003
Externally published	Yes

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10.1016/S0960-0779(02)00485-X

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title = "Auto-B{\"a}cklund transformation and exact solutions for modified nonlinear dispersive mK(m,n) equations",

abstract = "Based on the idea of homogenous balance method and with the help of Mathematica, we obtain a new auto-B{\"a}cklund transformation for modified nonlinear dispersive equation mK(m,n). Then based on the B{\"a}cklund transformation, some solitary patterns solution for mK(m,n) equation are derived. In addition, we also obtain the general solutions for mK(n,n) in higher dimensional spatial domains, even in N dimensional space.",

author = "Yong Chen and Biao Li and Hongqing Zhang",

year = "2003",

month = aug,

doi = "10.1016/S0960-0779(02)00485-X",

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T1 - Auto-Bäcklund transformation and exact solutions for modified nonlinear dispersive mK(m,n) equations

AU - Chen, Yong

AU - Li, Biao

AU - Zhang, Hongqing

PY - 2003/8

Y1 - 2003/8

N2 - Based on the idea of homogenous balance method and with the help of Mathematica, we obtain a new auto-Bäcklund transformation for modified nonlinear dispersive equation mK(m,n). Then based on the Bäcklund transformation, some solitary patterns solution for mK(m,n) equation are derived. In addition, we also obtain the general solutions for mK(n,n) in higher dimensional spatial domains, even in N dimensional space.

AB - Based on the idea of homogenous balance method and with the help of Mathematica, we obtain a new auto-Bäcklund transformation for modified nonlinear dispersive equation mK(m,n). Then based on the Bäcklund transformation, some solitary patterns solution for mK(m,n) equation are derived. In addition, we also obtain the general solutions for mK(n,n) in higher dimensional spatial domains, even in N dimensional space.

UR - https://www.scopus.com/pages/publications/0037411686

U2 - 10.1016/S0960-0779(02)00485-X

DO - 10.1016/S0960-0779(02)00485-X

M3 - 文章

AN - SCOPUS:0037411686

SN - 0960-0779

VL - 17

SP - 693

EP - 698

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

IS - 4

ER -

Auto-Bäcklund transformation and exact solutions for modified nonlinear dispersive mK(m,n) equations

Abstract

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